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Finding the Fourth Proportional to 462,148.20, 693,222.30 and 213,316.20

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Solution

The fourth proportional to 462,148.20, 693,222.30 and 213,316.20 is: 319,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,148.20 : 693,222.30 = 213,316.20 : x
  2. Step 2: Convert to fraction form
    462,148.20/693,222.30 = 213,316.20/x
  3. Step 3: Cross multiply
    462,148.20x = 693,222.30 × 213,316.20
  4. Step 4: Simplify right side
    462,148.20x = 147,875,546,791.26
  5. Step 5: Solve for x
    x = 147,875,546,791.26/462,148.20
  6. Step 6: Final answer
    x = 319,974.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.